and applying the multiplication formula of the gamma function [1]}, for \(nt\ne 0,-1,-2,\ldots \)
\(\Gamma \left( nt\right) =\left( 2\pi \right) ^{\left( 1-n\right)/2}n^{nt-1/2}\prod \limits _{j=0}^{n-1}\Gamma \left( t+\frac{j}{n}\right) ,\) 
